Question

An a.c. circuit contains a 4 Ω resistance wire in series with an inductance coil of reactance 3 Ω. The impedance of the circuit is:

• A. 5 Ω
• B. $∞$
• C. 34​ Ω
• D. 43​ Ω

Answer 1

The Correct Option is A

Given:

• Resistance (R) = 4 Ω
• Inductive reactance (X_L) = 3 Ω

The impedance (Z) for a series RL circuit is determined using the formula:

Z = √(R² + X_L²)

Plugging in the given values:

Z = √(4² + 3²) = √(16 + 9) = √25 = 5 Ω

The circuit's impedance is 5 Ω.